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Finding the Third Proportional to 561,489 and 863,922

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Solution

The third proportional to 561,489 and 863,922 is: 1,329,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,489 : 863,922 = 863,922 : x
  2. Step 2: Convert to fraction form
    561,489/863,922 = 863,922/x
  3. Step 3: Cross multiply
    561,489x = 863,922 × 863,922
  4. Step 4: Simplify right side
    561,489x = 746,361,222,084
  5. Step 5: Solve for x
    x = 746,361,222,084/561,489
  6. Step 6: Final answer
    x = 1,329,253.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.